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131903352 = 23327261713
BaseRepresentation
bin1111101110010…
…10111101111000
3100012012101101100
413313022331320
5232231401402
621031051400
73161105610
oct767127570
9305171340
10131903352
1168501a39
1238210b60
1321433c29
1413737a40
15b8a771c
hex7dcaf78

131903352 has 48 divisors (see below), whose sum is σ = 408273840. Its totient is φ = 37686528.

The previous prime is 131903333. The next prime is 131903353. The reversal of 131903352 is 253309131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131903353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130353 + ... + 131360.

It is an arithmetic number, because the mean of its divisors is an integer number (8505705).

Almost surely, 2131903352 is an apocalyptic number.

131903352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131903352 is an abundant number, since it is smaller than the sum of its proper divisors (276370488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131903352 is a wasteful number, since it uses less digits than its factorization.

131903352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261732 (or 261725 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 131903352 is about 11484.9184585699. The cubic root of 131903352 is about 509.0400396683.

The spelling of 131903352 in words is "one hundred thirty-one million, nine hundred three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 261713 523426 785139 1046852 1570278 1831991 2093704 2355417 3140556 3663982 4710834 5495973 6281112 7327964 9421668 10991946 14655928 16487919 18843336 21983892 32975838 43967784 65951676 131903352